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Talja [164]
3 years ago
6

Five dollars more than half the price of sweater is equal to 40.39 what is the full price of the sweater

Mathematics
1 answer:
Sauron [17]3 years ago
5 0
Define variables:
w = price of a sweater, in dollars
h = price of a shirt, in dollars
2. Set up two equations representing the problem:
w+=+2h+-+5
4h+%2B+3w+=+275
3. Since an equation for one variable is solved, substitute the answer for the variable in the other equation:
4h+%2B+3%282h+-+5%29+=+275
4. Distribute the 3:
4h+%2B+6h+-+15+=+275
5. Combine two terms:
10h+-+15+=+275
6. Add 15 to both sides:
10h+-+15+%2B+15+=+275+%2B+15
7. Cancel and combine terms:
10h+=+290
8. Divide both sides by 10:
%2810h%29%2F10+=+290%2F10
9. Finish simplification:
h+=+29
10. Replace h in your first equation:
w+=+2%2829%29+-+5
11. Solve for w:
w+=+58+-+5
w+=+53
12. Combine your solved equations with your variable definitions for your answer:
A shirt costs $29 and a sweater costs $53.
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I need help with these questions(see image). <br><br>Please show workings.​
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see explanation

Step-by-step explanation:

(a)

The angle around the centre O of the circle = 360°, then

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A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80. how much of the variance for the y score
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<h3>What is coefficient of determination?</h3>

The percentage of the variation in the dependent variable that can be predicted from the independent variable is known as the coefficient of determination, abbreviated R2 or r2, in statistics.

<h3>How to find the variance for the y scores?</h3>

given that

A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80.

now we have to find the variance for the y scores.

here, r=0.80 then {r}^{2}  = 0.64

which means 0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

r =  \sqrt{ {r}^{2}} \: or \:  \sqrt{ {r}^{2}} \\ 0.80 =  \sqrt{ {0.80}^{2} }   \\ 0.80 = 0.80

Learn more about coefficient of determination,refer:

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